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Finding the Fourth Proportional to 359,232.80, 495,744.80 and 198,094.24

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Solution

The fourth proportional to 359,232.80, 495,744.80 and 198,094.24 is: 273,372.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,232.80 : 495,744.80 = 198,094.24 : x
  2. Step 2: Convert to fraction form
    359,232.80/495,744.80 = 198,094.24/x
  3. Step 3: Cross multiply
    359,232.80x = 495,744.80 × 198,094.24
  4. Step 4: Simplify right side
    359,232.80x = 98,204,189,389.95
  5. Step 5: Solve for x
    x = 98,204,189,389.95/359,232.80
  6. Step 6: Final answer
    x = 273,372.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.